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Finding the Third Proportional to 157,519.69 and 345,659.06

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Solution

The third proportional to 157,519.69 and 345,659.06 is: 758,509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,519.69 : 345,659.06 = 345,659.06 : x
  2. Step 2: Convert to fraction form
    157,519.69/345,659.06 = 345,659.06/x
  3. Step 3: Cross multiply
    157,519.69x = 345,659.06 × 345,659.06
  4. Step 4: Simplify right side
    157,519.69x = 119,480,187,488.38
  5. Step 5: Solve for x
    x = 119,480,187,488.38/157,519.69
  6. Step 6: Final answer
    x = 758,509.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.